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Finding the Fourth Proportional to 1,354.87, 2,034.25 and 835.89

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Solution

The fourth proportional to 1,354.87, 2,034.25 and 835.89 is: 1,255.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.87 : 2,034.25 = 835.89 : x
  2. Step 2: Convert to fraction form
    1,354.87/2,034.25 = 835.89/x
  3. Step 3: Cross multiply
    1,354.87x = 2,034.25 × 835.89
  4. Step 4: Simplify right side
    1,354.87x = 1,700,405.05
  5. Step 5: Solve for x
    x = 1,700,405.05/1,354.87
  6. Step 6: Final answer
    x = 1,255.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.